On the peculiar nature of turbulence in planetary dynamos

Henri-Claude Nataf; Nadège Gagnière

doi:10.1016/j.crhy.2008.07.009

The dynamo effect/L'effet dynamo

On the peculiar nature of turbulence in planetary dynamos
[Sur la nature particulière de la turbulence dans les noyaux planétaires]

Henri-Claude Nataf ¹ ; Nadège Gagnière ¹

¹ University of Grenoble – Centre national de la recherche scientifique, LGIT, BP 53, maison des Geosciences, 38041 Grenoble cedex 9, France

Comptes Rendus. Physique, Dynamo effect: experimental progress and geo- and astro-physical challenges / Effet dynamo : avancées expérimentales et défis géo- et astrophysiques, Volume 9 (2008) no. 7, pp. 702-710.

Résumé
Abstract

Sous les contraintes combinées de la rotation rapide, de la sphéricité et du champ magnétique, les écoulements dans les noyaux planétaires s'organisent d'une manière particulière. La turbulence hydrodynamique classique n'est pas présente mais des mouvements turbulents peuvent se mettre en place sous l'action des forces d'Archimède et de Lorentz. Des expériences de laboratoire comme l'expérience DTS de Couette sphérique sous champ magnétique à Grenoble, nous aident à comprendre les écoulements qui peuvent exister dans les conditions des noyaux planétaires.

Under the combined constraints of rapid rotation, sphericity, and magnetic field, motions in planetary cores get organized in a peculiar way. Classical hydrodynamic turbulence is not present, but turbulent motions can take place under the action of the buoyancy and Lorentz forces. Laboratory experiments, such as the rotating spherical magnetic Couette DTS experiment in Grenoble, help us understand what motions take place in planetary core conditions.

Publié le : 2008-08-28

DOI : 10.1016/j.crhy.2008.07.009

Keywords: Dynamo, Planetary core, DTS, Spherical Couette
Mots-clés : Dynamo, Noyau planétaire, DTS, Couette sphérique

Affiliations des auteurs :

Henri-Claude Nataf ¹ ; Nadège Gagnière ¹

¹ University of Grenoble – Centre national de la recherche scientifique, LGIT, BP 53, maison des Geosciences, 38041 Grenoble cedex 9, France

@article{CRPHYS_2008__9_7_702_0,
     author = {Henri-Claude Nataf and Nad\`ege Gagni\`ere},
     title = {On the peculiar nature of turbulence in planetary dynamos},
     journal = {Comptes Rendus. Physique},
     pages = {702--710},
     publisher = {Elsevier},
     volume = {9},
     number = {7},
     year = {2008},
     doi = {10.1016/j.crhy.2008.07.009},
     language = {en},
}

TY  - JOUR
AU  - Henri-Claude Nataf
AU  - Nadège Gagnière
TI  - On the peculiar nature of turbulence in planetary dynamos
JO  - Comptes Rendus. Physique
PY  - 2008
SP  - 702
EP  - 710
VL  - 9
IS  - 7
PB  - Elsevier
DO  - 10.1016/j.crhy.2008.07.009
LA  - en
ID  - CRPHYS_2008__9_7_702_0
ER  -

%0 Journal Article
%A Henri-Claude Nataf
%A Nadège Gagnière
%T On the peculiar nature of turbulence in planetary dynamos
%J Comptes Rendus. Physique
%D 2008
%P 702-710
%V 9
%N 7
%I Elsevier
%R 10.1016/j.crhy.2008.07.009
%G en
%F CRPHYS_2008__9_7_702_0

Henri-Claude Nataf; Nadège Gagnière. On the peculiar nature of turbulence in planetary dynamos. Comptes Rendus. Physique, Dynamo effect: experimental progress and geo- and astro-physical challenges / Effet dynamo : avancées expérimentales et défis géo- et astrophysiques, Volume 9 (2008) no. 7, pp. 702-710. doi : 10.1016/j.crhy.2008.07.009. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2008.07.009/

Bibliographie
Cité par

[1] R. Monchaux; M. Berhanu; M. Bourgoin; Ph. Odier; M. Moulin; J.-F. Pinton; R. Volk; S. Fauve; N. Mordant; F. Pétrélis; A. Chiffaudel; F. Daviaud; B. Dubrulle; C. Gasquet; L. Marié; F. Ravelet Generation of magnetic field by a turbulent flow of liquid sodium, Phys. Rev. Lett., Volume 98 (2006), p. 044502

[2] M. Berhanu; R. Monchaux; S. Fauve; N. Mordant; F. Pétrélis; A. Chiffaudel; F. Daviaud; B. Dubrulle; L. Marié; F. Ravelet; M. Bourgoin; Ph. Odier; J.-F. Pinton; R. Volk Magnetic field reversals in an experimental turbulent dynamo, Eur. Phys. Lett., Volume 77 (2007), p. 59001

[3] A. Gailitis; O. Lielausis; E. Platacis; S. Dement'ev; A. Cifersons; G. Gerbeth; T. Gundrum; F. Stefani; M. Christen; G. Will Magnetic Field Saturation in the Riga dynamo experiment, Phys. Rev. Lett., Volume 86 (2001), pp. 3024-3027

[4] R. Stieglitz; U. Müller Experimental demonstration of a homogeneous two-scale dynamo, Phys. Fluids, Volume 13 (2001), pp. 561-564

[5] J.B. Taylor The magneto-hydrodynamics of a rotating fluid and the Earth's dynamo problem, Proc. R. Soc. Lond. A, Volume 274 (1963), pp. 274-283

[6] H.-C. Nataf; T. Alboussière; D. Brito; P. Cardin; N. Gagnière; D. Jault; D. Schmitt Experimental study of super-rotation in a magnetostrophic spherical Couette, Geophys. Astrophys. Fluid Dyn., Volume 100 (2006), pp. 281-298

[7] D. Schmitt; T. Alboussière; D. Brito; P. Cardin; N. Gagnière; D. Jault; H.-C. Nataf Rotating spherical Couette flow in a dipolar magnetic field: Experimental study of magneto-inertial waves, J. Fluid Mech., Volume 604 (2008), pp. 175-197

[8] H.-C. Nataf, T. Alboussière, D. Brito, P. Cardin, N. Gagnière, D. Jault, D. Schmitt, Rapidly rotating spherical Couette flow in a dipolar magnetic field: An experimental study of the mean axisymmetric flow, Phys. Earth Planet. Inter. (2008), doi: | DOI

[9] P. Cardin; D. Brito; D. Jault; H.-C. Nataf; J.-P. Masson Towards a rapidly rotating liquid sodium dynamo experiment, Magnetohydrodynamics, Volume 38 (2002), pp. 177-189

[10] D. Jault Axial invariance of rapidly varying diffusionless motions in the Earth's core interior, Phys. Earth Planet. Inter., Volume 166 (2008), pp. 67-76

[11] N. Kleeorin; I. Rogachevskii; A. Ruzmaikin; A.M. Soward; S. Starchenko Axisymmetric flow between differentially rotating spheres in a dipolemagnetic field, J. Fluid Mech., Volume 344 (1997), pp. 213-244

[12] D.H. Kelley; S.A. Triana; D.S. Zimmerman; A. Tilgner; D.P. Lathrop Inertial waves driven by differential rotation in a planetary geometry, Geophys. Astrophys. Fluid Dyn., Volume 101 (2007), pp. 469-487

[13] M.A. Pais; D. Jault Quasi-geostrophic flows responsible for the secular variation of the Earth's magnetic field, Geophys. J. Int., Volume 173 (2008), pp. 421-443

[14] B. Desjardins; E. Dormy; E. Grenier Boundary layer instability at the top of the Earth's outer core, J. Comput. Appl. Math., Volume 166 (2004), pp. 123-131

[15] J.-L. Le Mouël; C. Narteau; M. Grefftz-Lefftz; M. Holschneider Dissipation at the core-mantle boundary on a small-scale topography, J. Geophys. Res., Volume 111 (2006), p. B04413

[16] B.A. Buffett; U.R. Christensen Magnetic and viscous coupling at the core-mantle boundary: inferences from observations of the Earth's nutations, Geophys. J. Int., Volume 171 (2007), pp. 145-152

[17] T.A. Herring; P.M. Mathews; B.A. Buffett Modeling nutation and precession: very long baseline interferometry results, J. Geophys. Res. 107 (2002) (B4, 2069)

[18] N. Schaeffer; P. Cardin Quasi-geostrophic kinematic dynamos at low magnetic Prandtl numbers, Earth Planet. Sci. Lett., Volume 245 (2006), pp. 595-604

[19] H. Matsui; B.A. Buffett Commutation error correction for large eddy simulations of convection driven dynamos, Geophys. Astrophys. Fluid Dyn., Volume 101 (2007), pp. 429-449

[20] S.I. Braginsky Torsional magnetohydrodynamic vibrations in the Earth's core and variations in day length, Geomag. Aeron., Volume 10 (1970), pp. 1-8

[21] S. Zatman; J. Bloxham Torsional oscillations and the magnetic field within the Earth's core, Nature, Volume 388 (1997), pp. 760-763

[22] M. Dumberry; J. Bloxham Torque balance, Taylor's constraint and torsional oscillations in a numerical model of the geodynamo, Phys. Earth Planet. Int., Volume 140 (2003), pp. 29-51

[23] D. Jault; C. Gire; J.-L. Le Mouël Westward drift, core motions and exchanges of angular momentum between core and mantle, Nature, Volume 333 (1988), pp. 353-356

[24] N. Olsen; M. Mandea Investigation of a secular variation impulse using satellite data: the 2003 geomagnetic jerk, Earth Planet. Sci. Lett., Volume 255 (2007), pp. 94-105

[25] F.J. Lowes; I. Wilkinson Geomagnetic dynamo: an improved laboratory model, Nature, Volume 219 (1968), pp. 717-718

Henri-Claude Nataf; Nathanaël Schaeffer Dynamic regimes in planetary cores: τ–ℓ diagrams, Comptes Rendus. Géoscience, Volume 356 (2024) no. G1, p. 1 | DOI:10.5802/crgeos.256
Lukács Kuslits; István Lemperger; András Horváth; Dávid Koronczay; Viktor Wesztergom Recent progress in identification of the geomagnetic signature of 3D outer core flows, Acta Geodaetica et Geophysica, Volume 55 (2020) no. 3, p. 347 | DOI:10.1007/s40328-020-00307-3
Renaud Deguen; Marine Lasbleis Fluid Dynamics of Earth’s Core: Geodynamo, Inner Core Dynamics, Core Formation, Fluid Mechanics of Planets and Stars, Volume 595 (2020), p. 129 | DOI:10.1007/978-3-030-22074-7_5
Mathieu Bouffard; Gaël Choblet; Stéphane Labrosse; Johannes Wicht Chemical Convection and Stratification in the Earth's Outer Core, Frontiers in Earth Science, Volume 7 (2019) | DOI:10.3389/feart.2019.00099
J.M. Aurnou; M.A. Calkins; J.S. Cheng; K. Julien; E.M. King; D. Nieves; K.M. Soderlund; S. Stellmach Rotating convective turbulence in Earth and planetary cores, Physics of the Earth and Planetary Interiors, Volume 246 (2015), p. 52 | DOI:10.1016/j.pepi.2015.07.001
H.-C. Nataf; N. Schaeffer Turbulence in the Core, Treatise on Geophysics (2015), p. 161 | DOI:10.1016/b978-0-444-53802-4.00142-1
Daniel S. Zimmerman; Santiago Andrés Triana; Henri‐Claude Nataf; Daniel P. Lathrop A turbulent, high magnetic Reynolds number experimental model of Earth's core, Journal of Geophysical Research: Solid Earth, Volume 119 (2014) no. 6, p. 4538 | DOI:10.1002/2013jb010733
References, Magnetic Processes in Astrophysics (2013), p. 327 | DOI:10.1002/9783527648924.refs
D. Brito; T. Alboussière; P. Cardin; N. Gagnière; D. Jault; P. La Rizza; J.-P. Masson; H.-C. Nataf; D. Schmitt Zonal shear and super-rotation in a magnetized spherical Couette-flow experiment, Physical Review E, Volume 83 (2011) no. 6 | DOI:10.1103/physreve.83.066310
Douglas H. Kelley; Santiago Andrés Triana; Daniel S. Zimmerman; Daniel P. Lathrop Selection of inertial modes in spherical Couette flow, Physical Review E, Volume 81 (2010) no. 2 | DOI:10.1103/physreve.81.026311
C. C. Finlay; M. Dumberry; A. Chulliat; M. A. Pais Short Timescale Core Dynamics: Theory and Observations, Space Science Reviews, Volume 155 (2010) no. 1-4, p. 177 | DOI:10.1007/s11214-010-9691-6
C. C. Finlay; M. Dumberry; A. Chulliat; M. A. Pais Short Timescale Core Dynamics: Theory and Observations, Terrestrial Magnetism, Volume 36 (2010), p. 177 | DOI:10.1007/978-1-4419-7955-1_8

Cité par 12 documents. Sources : Crossref

Commentaires - Politique

Il n'y a aucun commentaire pour cet article. Soyez le premier à écrire un commentaire !

Publier un nouveau commentaire:

Publier une nouvelle réponse: